Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.06581 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915318915399680 |
|---|---|
| author | Chen, Jiaming |
| author_facet | Chen, Jiaming |
| contents | In this work, we establish the existence of large deviation principles of random walk in strongly mixing environments. The quenched and annealed rate functions have the same zero set whose shape is either a singleton point or a line segment, with an illustrative example communicated and given by F. Rassoul-Agha. Whenever the level of disorder is controlled, the two rate functions are shown to conform on compact sets at the boundary and in the interior both under strongly mixing conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06581 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Velocity surface disorder of large deviation rate functions of the random walk in strongly mixing environment Chen, Jiaming Probability Mathematical Physics In this work, we establish the existence of large deviation principles of random walk in strongly mixing environments. The quenched and annealed rate functions have the same zero set whose shape is either a singleton point or a line segment, with an illustrative example communicated and given by F. Rassoul-Agha. Whenever the level of disorder is controlled, the two rate functions are shown to conform on compact sets at the boundary and in the interior both under strongly mixing conditions. |
| title | Velocity surface disorder of large deviation rate functions of the random walk in strongly mixing environment |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2409.06581 |